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Finding the Fourth Proportional to 3,159.44, 4,361.38 and 1,980.26

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Solution

The fourth proportional to 3,159.44, 4,361.38 and 1,980.26 is: 2,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.44 : 4,361.38 = 1,980.26 : x
  2. Step 2: Convert to fraction form
    3,159.44/4,361.38 = 1,980.26/x
  3. Step 3: Cross multiply
    3,159.44x = 4,361.38 × 1,980.26
  4. Step 4: Simplify right side
    3,159.44x = 8,636,666.36
  5. Step 5: Solve for x
    x = 8,636,666.36/3,159.44
  6. Step 6: Final answer
    x = 2,733.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.